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Simplifying 8(n + -7) = -20 + 10n Reorder the terms: 8(-7 + n) = -20 + 10n (-7 * 8 + n * 8) = -20 + 10n (-56 + 8n) = -20 + 10n Solving -56 + 8n = -20 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -56 + 8n + -10n = -20 + 10n + -10n Combine like terms: 8n + -10n = -2n -56 + -2n = -20 + 10n + -10n Combine like terms: 10n + -10n = 0 -56 + -2n = -20 + 0 -56 + -2n = -20 Add '56' to each side of the equation. -56 + 56 + -2n = -20 + 56 Combine like terms: -56 + 56 = 0 0 + -2n = -20 + 56 -2n = -20 + 56 Combine like terms: -20 + 56 = 36 -2n = 36 Divide each side by '-2'. n = -18 Simplifying n = -18
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